How do Cast damage increases affect Smolder Ring?

So there are several ways to increase your casts damage. The ones that come to mind the most are Chaos boons, The Arachne Dress and the Atlas Braids found in Wells of Charon.

It’s easy to know how they affect every other gods cast boon.

As all the other cast boons deal direct damage you just increase that damage by whatever the above mentioned boons give.

But With Hestia’s Cast it is not directly dealing Damage. It is applying Scorch which then does damage.

So would these boons increase how much Scorch Smolder Ring applies?

Or would it just increase the damage the Ω cast does and not affect the amount of Scorch applied?